4,830,448

2⁴ × 7 × 17 × 43 × 59

4,830,448 factors as 2^4 × 7 × 17 × 43 × 59. Its 80 positive divisors give a proper-divisor sum of 6,954,512, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 43 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 11,784,960

Proper Divisor Sum 6,954,512

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4830439 ← → #4830481

Radix Representation

Decimal	4830448
Binary	10010011011010011110000 (23 bits)
Octal	0o22332360
Hexadecimal	0x49B4F0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 17 28 34 43 56 59 68 86 112 118 119 136 172 236 238 272 301 344 413 472 476 602 688 731 826 944 952 1,003 1,204 1,462 1,652 1,904 2,006 2,408 2,537 2,924 3,304 4,012 4,816 5,074 5,117 5,848 6,608 7,021 8,024 10,148 10,234 11,696 14,042 16,048 17,759 20,296 20,468

Collatz Trajectory (237 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,830,448 2,415,224 1,207,612 603,806 301,903 905,710 452,855 1,358,566 679,283 2,037,850 1,018,925 3,056,776 1,528,388 764,194 382,097 1,146,292 573,146 286,573 859,720 429,860 214,930 107,465 322,396 161,198 80,599 241,798 120,899 362,698 181,349 544,048 272,024 136,012 68,006 34,003 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107

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